31321221013313 has 32 divisors (see below), whose sum is σ = 41351682947328. Its totient is φ = 22967823974400.

The previous prime is 31321221013307. The next prime is 31321221013319. The reversal of 31321221013313 is 31331012212313.

It is an interprime number because it is at equal distance from previous prime (31321221013307) and next prime (31321221013319).

It is a cyclic number.

It is not a de Polignac number, because 31321221013313 - 2⁴⁴ = 13729034968897 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31321221013319) 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, 9926531 + ... + 12695607.

It is an arithmetic number, because the mean of its divisors is an integer number (1292240092104).

Almost surely, 2^{31321221013313} is an apocalyptic number.

It is an amenable number.

31321221013313 is a deficient number, since it is larger than the sum of its proper divisors (10030461934015).

31321221013313 is a wasteful number, since it uses less digits than its factorization.

31321221013313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777753.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 31321221013313 its reverse (31331012212313), we get a palindrome (62652233225626).

The spelling of 31321221013313 in words is "thirty-one trillion, three hundred twenty-one billion, two hundred twenty-one million, thirteen thousand, three hundred thirteen".