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10131032013 = 35997590077
BaseRepresentation
bin10010110111101101…
…10100011111001101
3222011001022202020220
421123312310133031
5131222021011023
64353143101553
7506025231324
oct113366643715
928131282226
1010131032013
114329781333
121b68a418b9
13c55ba78cb
146c17110bb
153e46423e3
hex25bdb47cd

10131032013 has 16 divisors (see below), whose sum is σ = 13878634560. Its totient is φ = 6571086336.

The previous prime is 10131031987. The next prime is 10131032017. The reversal of 10131032013 is 31023013101.

It is not a de Polignac number, because 10131032013 - 29 = 10131031501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131031983 and 10131032001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131032017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277870 + ... + 312207.

It is an arithmetic number, because the mean of its divisors is an integer number (867414660).

Almost surely, 210131032013 is an apocalyptic number.

It is an amenable number.

10131032013 is a deficient number, since it is larger than the sum of its proper divisors (3747602547).

10131032013 is an equidigital number, since it uses as much as digits as its factorization.

10131032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590236.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10131032013 its reverse (31023013101), we get a palindrome (41154045114).

The spelling of 10131032013 in words is "ten billion, one hundred thirty-one million, thirty-two thousand, thirteen".

Divisors: 1 3 59 97 177 291 5723 17169 590077 1770231 34814543 57237469 104443629 171712407 3377010671 10131032013