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13031332030101 = 3711283199338137
BaseRepresentation
bin1011110110100001011111…
…1010101010011010010101
31201010210010221020120102210
42331220113322222122111
53202001131444430401
643414302234424033
72513324361433050
oct275502772523225
951123127216383
1013031332030101
114174614228750
121565686892019
13736b06cc14b8
14330a1132ba97
15178e951cb4d6
hexbda17eaa695

13031332030101 has 32 divisors (see below), whose sum is σ = 21739019977728. Its totient is φ = 6745602522240.

The previous prime is 13031332030097. The next prime is 13031332030117. The reversal of 13031332030101 is 10103023313031.

It is not a de Polignac number, because 13031332030101 - 22 = 13031332030097 is a prime.

It is a super-2 number, since 2×130313320301012 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031332030151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99603696 + ... + 99734441.

It is an arithmetic number, because the mean of its divisors is an integer number (679344374304).

Almost surely, 213031332030101 is an apocalyptic number.

13031332030101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13031332030101 is a deficient number, since it is larger than the sum of its proper divisors (8707687947627).

13031332030101 is a wasteful number, since it uses less digits than its factorization.

13031332030101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199338441.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13031332030101 its reverse (10103023313031), we get a palindrome (23134355343132).

The spelling of 13031332030101 in words is "thirteen trillion, thirty-one billion, three hundred thirty-two million, thirty thousand, one hundred one".

Divisors: 1 3 7 11 21 33 77 231 283 849 1981 3113 5943 9339 21791 65373 199338137 598014411 1395366959 2192719507 4186100877 6578158521 15349036549 46047109647 56412692771 169238078313 394888849397 620539620481 1184666548191 1861618861443 4343777343367 13031332030101