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131021033 = 11133724763
BaseRepresentation
bin1111100111100…
…11100011101001
3100010112120001212
413303303203221
5232020133113
621000122505
73150442343
oct763634351
9303476055
10131021033
1167a5a050
1237a66435
13211b5450
1413588293
15b7810a8
hex7cf38e9

131021033 has 16 divisors (see below), whose sum is σ = 158093376. Its totient is φ = 106971840.

The previous prime is 131021029. The next prime is 131021069. The reversal of 131021033 is 330120131.

It is a cyclic number.

It is not a de Polignac number, because 131021033 - 22 = 131021029 is a prime.

It is a super-2 number, since 2×1310210332 = 34333022176774178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131020999 and 131021017.

It is not an unprimeable number, because it can be changed into a prime (131021633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7091 + ... + 17672.

It is an arithmetic number, because the mean of its divisors is an integer number (9880836).

Almost surely, 2131021033 is an apocalyptic number.

131021033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131021033 is a deficient number, since it is larger than the sum of its proper divisors (27072343).

131021033 is a wasteful number, since it uses less digits than its factorization.

131021033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24824.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 131021033 is about 11446.4419362525. The cubic root of 131021033 is about 507.9024873799.

Adding to 131021033 its reverse (330120131), we get a palindrome (461141164).

The spelling of 131021033 in words is "one hundred thirty-one million, twenty-one thousand, thirty-three".

Divisors: 1 11 13 37 143 407 481 5291 24763 272393 321919 916231 3541109 10078541 11911003 131021033