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131133131103 = 31322918314871
BaseRepresentation
bin111101000100000100…
…1001100100101011111
3110112110220010021021110
41322020021030211133
54122030040143403
6140124114033103
712321413136402
oct1721011144537
9415426107243
10131133131103
1150682263317
12214b8278793
13c49a885700
1464bdb8dd39
153627591103
hex1e8824c95f

131133131103 has 48 divisors (see below), whose sum is σ = 196004067840. Its totient is φ = 77856105600.

The previous prime is 131133130991. The next prime is 131133131147. The reversal of 131133131103 is 301131331131.

It is not a de Polignac number, because 131133131103 - 214 = 131133114719 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131133131103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131133131303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26918758 + ... + 26923628.

It is an arithmetic number, because the mean of its divisors is an integer number (4083418080).

Almost surely, 2131133131103 is an apocalyptic number.

131133131103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131133131103 is a deficient number, since it is larger than the sum of its proper divisors (64870936737).

131133131103 is a wasteful number, since it uses less digits than its factorization.

131133131103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6760 (or 6747 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 131133131103 its reverse (301131331131), we get a palindrome (432264462234).

The spelling of 131133131103 in words is "one hundred thirty-one billion, one hundred thirty-three million, one hundred thirty-one thousand, one hundred three".

Divisors: 1 3 13 29 39 87 169 377 507 1131 1831 4871 4901 5493 14613 14703 23803 53099 63323 71409 141259 159297 189969 309439 423777 690287 823199 928317 1836367 2070861 2469597 5509101 8918801 8973731 23872771 26756403 26921193 71618313 115944413 258645229 347833239 775935687 1507277369 3362387977 4521832107 10087163931 43711043701 131133131103