213013100031 has 16 divisors (see below), whose sum is σ = 284589888000. Its totient is φ = 141722784000.

The previous prime is 213013100023. The next prime is 213013100051. The reversal of 213013100031 is 130001310312.

It is not a de Polignac number, because 213013100031 - 2³ = 213013100023 is a prime.

It is a super-2 number, since 2×213013100031² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213013100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3345711 + ... + 3408783.

It is an arithmetic number, because the mean of its divisors is an integer number (17786868000).

Almost surely, 2^213013100031 is an apocalyptic number.

213013100031 is a deficient number, since it is larger than the sum of its proper divisors (71576787969).

213013100031 is a wasteful number, since it uses less digits than its factorization.

213013100031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65326.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 213013100031 its reverse (130001310312), we get a palindrome (343014410343).

The spelling of 213013100031 in words is "two hundred thirteen billion, thirteen million, one hundred thousand, thirty-one".