10100200213313 has 32 divisors (see below), whose sum is σ = 11810462957568. Its totient is φ = 8457474513600.

The previous prime is 10100200213303. The next prime is 10100200213373. The reversal of 10100200213313 is 31331200200101.

It is not a de Polignac number, because 10100200213313 - 2²⁶ = 10100133104449 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100200213291 and 10100200213300.

It is not an unprimeable number, because it can be changed into a prime (10100200213303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 525741278 + ... + 525760488.

It is an arithmetic number, because the mean of its divisors is an integer number (369076967424).

Almost surely, 2^{10100200213313} is an apocalyptic number.

It is an amenable number.

10100200213313 is a deficient number, since it is larger than the sum of its proper divisors (1710262744255).

10100200213313 is a wasteful number, since it uses less digits than its factorization.

10100200213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22133.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10100200213313 its reverse (31331200200101), we get a palindrome (41431400413414).

The spelling of 10100200213313 in words is "ten trillion, one hundred billion, two hundred million, two hundred thirteen thousand, three hundred thirteen".