101125315431513 has 8 divisors (see below), whose sum is σ = 149815282120800. Its totient is φ = 67416876954324.

The previous prime is 101125315431479. The next prime is 101125315431533. The reversal of 101125315431513 is 315134513521101.

101125315431513 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 25 + 315 + 4 + 315 + 1 + 3 = 666.

It is not a de Polignac number, because 101125315431513 - 2⁶ = 101125315431449 is a prime.

It is a super-2 number, since 2×101125315431513² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101125315431533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1872691026483 + ... + 1872691026536.

It is an arithmetic number, because the mean of its divisors is an integer number (18726910265100).

Almost surely, 2^{101125315431513} is an apocalyptic number.

It is an amenable number.

101125315431513 is a deficient number, since it is larger than the sum of its proper divisors (48689966689287).

101125315431513 is an equidigital number, since it uses as much as digits as its factorization.

101125315431513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745382053028 (or 3745382053022 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Adding to 101125315431513 its reverse (315134513521101), we get a palindrome (416259828952614).

The spelling of 101125315431513 in words is "one hundred one trillion, one hundred twenty-five billion, three hundred fifteen million, four hundred thirty-one thousand, five hundred thirteen".