101231131313 has 24 divisors (see below), whose sum is σ = 110450894400. Its totient is φ = 92735233344.

The previous prime is 101231131307. The next prime is 101231131321. The reversal of 101231131313 is 313131132101.

It is not a de Polignac number, because 101231131313 - 2¹⁰ = 101231130289 is a prime.

It is a Duffinian number.

101231131313 is a modest number, since divided by 131313 gives 101231 as remainder.

It is not an unprimeable number, because it can be changed into a prime (101231131363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20007578 + ... + 20012636.

It is an arithmetic number, because the mean of its divisors is an integer number (4602120600).

Almost surely, 2^101231131313 is an apocalyptic number.

101231131313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101231131313 is a deficient number, since it is larger than the sum of its proper divisors (9219763087).

101231131313 is a wasteful number, since it uses less digits than its factorization.

101231131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5961 (or 5948 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 101231131313 its reverse (313131132101), we get a palindrome (414362263414).

The spelling of 101231131313 in words is "one hundred one billion, two hundred thirty-one million, one hundred thirty-one thousand, three hundred thirteen".