10101131013 has 8 divisors (see below), whose sum is σ = 13468673088. Its totient is φ = 6733838144.

The previous prime is 10101130979. The next prime is 10101131071. The reversal of 10101131013 is 31013110101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10101131013 - 2¹³ = 10101122821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101131813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76381 + ... + 161357.

It is an arithmetic number, because the mean of its divisors is an integer number (1683584136).

Almost surely, 2^10101131013 is an apocalyptic number.

It is an amenable number.

10101131013 is a deficient number, since it is larger than the sum of its proper divisors (3367542075).

10101131013 is an equidigital number, since it uses as much as digits as its factorization.

10101131013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124603.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10101131013 its reverse (31013110101), we get a palindrome (41114241114).

The spelling of 10101131013 in words is "ten billion, one hundred one million, one hundred thirty-one thousand, thirteen".