10100331013213 has 8 divisors (see below), whose sum is σ = 11672934719040. Its totient is φ = 8560152126240.

The previous prime is 10100331013211. The next prime is 10100331013219. The reversal of 10100331013213 is 31231013300101.

10100331013213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10100331013213 - 2¹ = 10100331013211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100331013211) 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, 8106204043 + ... + 8106205288.

It is an arithmetic number, because the mean of its divisors is an integer number (1459116839880).

Almost surely, 2^{10100331013213} is an apocalyptic number.

It is an amenable number.

10100331013213 is a deficient number, since it is larger than the sum of its proper divisors (1572603705827).

10100331013213 is an equidigital number, since it uses as much as digits as its factorization.

10100331013213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16212409427.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10100331013213 its reverse (31231013300101), we get a palindrome (41331344313314).

It can be divided in two parts, 101003 and 31013213, that added together give a triangular number (31114216 = T₇₈₈₈).

The spelling of 10100331013213 in words is "ten trillion, one hundred billion, three hundred thirty-one million, thirteen thousand, two hundred thirteen".