101131026513 has 16 divisors (see below), whose sum is σ = 147127421952. Its totient is φ = 61279970000.

The previous prime is 101131026511. The next prime is 101131026613. The reversal of 101131026513 is 315620131101.

It is a cyclic number.

It is not a de Polignac number, because 101131026513 - 2¹ = 101131026511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101131026511) 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, 109773 + ... + 462938.

It is an arithmetic number, because the mean of its divisors is an integer number (9195463872).

Almost surely, 2^101131026513 is an apocalyptic number.

It is an amenable number.

101131026513 is a deficient number, since it is larger than the sum of its proper divisors (45996395439).

101131026513 is a wasteful number, since it uses less digits than its factorization.

101131026513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578076.

The product of its (nonzero) digits is 540, while the sum is 24.

Adding to 101131026513 its reverse (315620131101), we get a palindrome (416751157614).

The spelling of 101131026513 in words is "one hundred one billion, one hundred thirty-one million, twenty-six thousand, five hundred thirteen".