221413350101331 has 16 divisors (see below), whose sum is σ = 322666893508608. Its totient is φ = 134444538960000.

The previous prime is 221413350101303. The next prime is 221413350101341. The reversal of 221413350101331 is 133101053314122.

It is not a de Polignac number, because 221413350101331 - 2⁵ = 221413350101299 is a prime.

It is a super-2 number, since 2×221413350101331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221413350101341) 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, 70023195795 + ... + 70023198956.

It is an arithmetic number, because the mean of its divisors is an integer number (20166680844288).

Almost surely, 2^{221413350101331} is an apocalyptic number.

221413350101331 is a deficient number, since it is larger than the sum of its proper divisors (101253543407277).

221413350101331 is a wasteful number, since it uses less digits than its factorization.

221413350101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140046394802.

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 221413350101331 in words is "two hundred twenty-one trillion, four hundred thirteen billion, three hundred fifty million, one hundred one thousand, three hundred thirty-one".