311220102132131 has 8 divisors (see below), whose sum is σ = 311981189686320. Its totient is φ = 310459209668352.

The previous prime is 311220102132127. The next prime is 311220102132139. The reversal of 311220102132131 is 131231201022113.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 311220102132131 - 2² = 311220102132127 is a prime.

It is a super-2 number, since 2×311220102132131² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 311220102132097 and 311220102132106.

It is not an unprimeable number, because it can be changed into a prime (311220102132139) 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 7 ways as a sum of consecutive naturals, for example, 45577925 + ... + 51959478.

It is an arithmetic number, because the mean of its divisors is an integer number (38997648710790).

Almost surely, 2^{311220102132131} is an apocalyptic number.

311220102132131 is a deficient number, since it is larger than the sum of its proper divisors (761087554189).

311220102132131 is an equidigital number, since it uses as much as digits as its factorization.

311220102132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97545205.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 311220102132131 its reverse (131231201022113), we get a palindrome (442451303154244).

The spelling of 311220102132131 in words is "three hundred eleven trillion, two hundred twenty billion, one hundred two million, one hundred thirty-two thousand, one hundred thirty-one".