221312311303131 has 48 divisors (see below), whose sum is σ = 323355257944992. Its totient is φ = 145852213248000.

The previous prime is 221312311303067. The next prime is 221312311303133. The reversal of 221312311303131 is 131303113213122.

221312311303131 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 1 + 2 + 311 + 30 + 313 + 1 = 666.

221312311303131 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221312311303131 - 2⁶ = 221312311303067 is a prime.

It is a super-2 number, since 2×221312311303131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221312311303095 and 221312311303104.

It is not an unprimeable number, because it can be changed into a prime (221312311303133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1646589531 + ... + 1646723931.

It is an arithmetic number, because the mean of its divisors is an integer number (6736567873854).

Almost surely, 2^{221312311303131} is an apocalyptic number.

221312311303131 is a deficient number, since it is larger than the sum of its proper divisors (102042946641861).

221312311303131 is a wasteful number, since it uses less digits than its factorization.

221312311303131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140604 (or 140601 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 221312311303131 its reverse (131303113213122), we get a palindrome (352615424516253).

The spelling of 221312311303131 in words is "two hundred twenty-one trillion, three hundred twelve billion, three hundred eleven million, three hundred three thousand, one hundred thirty-one".