221210311413 has 64 divisors (see below), whose sum is σ = 372572282880. Its totient is φ = 113648527872.

The previous prime is 221210311391. The next prime is 221210311537. The reversal of 221210311413 is 314113012122.

It is not a de Polignac number, because 221210311413 - 2³⁴ = 204030442229 is a prime.

It is a super-3 number, since 3×221210311413³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 221210311413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221210315413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1559956 + ... + 1695842.

It is an arithmetic number, because the mean of its divisors is an integer number (5821441920).

Almost surely, 2^221210311413 is an apocalyptic number.

It is an amenable number.

221210311413 is a deficient number, since it is larger than the sum of its proper divisors (151361971467).

221210311413 is a wasteful number, since it uses less digits than its factorization.

221210311413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136066.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 221210311413 its reverse (314113012122), we get a palindrome (535323323535).

The spelling of 221210311413 in words is "two hundred twenty-one billion, two hundred ten million, three hundred eleven thousand, four hundred thirteen".