31000213201 has 32 divisors (see below), whose sum is σ = 34840018080. Its totient is φ = 27439104000.

The previous prime is 31000213117. The next prime is 31000213241. The reversal of 31000213201 is 10231200013.

It can be written as a sum of positive squares in 16 ways, for example, as 16179585601 + 14820627600 = 127199^2 + 121740^2 .

It is not a de Polignac number, because 31000213201 - 2²⁵ = 30966658769 is a prime.

It is a super-2 number, since 2×31000213201² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31000213241) 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, 24275175 + ... + 24276451.

It is an arithmetic number, because the mean of its divisors is an integer number (1088750565).

Almost surely, 2^31000213201 is an apocalyptic number.

It is an amenable number.

31000213201 is a deficient number, since it is larger than the sum of its proper divisors (3839804879).

31000213201 is a wasteful number, since it uses less digits than its factorization.

31000213201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 31000213201 its reverse (10231200013), we get a palindrome (41231413214).

The spelling of 31000213201 in words is "thirty-one billion, two hundred thirteen thousand, two hundred one".