10331013131013 has 8 divisors (see below), whose sum is σ = 13779030884800. Its totient is φ = 6885168732288.

The previous prime is 10331013130981. The next prime is 10331013131041. The reversal of 10331013131013 is 31013131013301.

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

It is not a de Polignac number, because 10331013131013 - 2⁵ = 10331013130981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10331013136013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543327673 + ... + 543346686.

It is an arithmetic number, because the mean of its divisors is an integer number (1722378860600).

Almost surely, 2^{10331013131013} is an apocalyptic number.

It is an amenable number.

10331013131013 is a deficient number, since it is larger than the sum of its proper divisors (3448017753787).

10331013131013 is a wasteful number, since it uses less digits than its factorization.

10331013131013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086677531.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 10331013131013 its reverse (31013131013301), we get a palindrome (41344144144314).

The spelling of 10331013131013 in words is "ten trillion, three hundred thirty-one billion, thirteen million, one hundred thirty-one thousand, thirteen".