311881319136 has 60 divisors (see below), whose sum is σ = 917234303832. Its totient is φ = 103960438848.

The previous prime is 311881319131. The next prime is 311881319137. The reversal of 311881319136 is 631913188113.

311881319136 is a `hidden beast` number, since 311 + 8 + 8 + 1 + 319 + 13 + 6 = 666.

It is a super-2 number, since 2×311881319136² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 311881319091 and 311881319100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311881319131) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 60159700 + ... + 60164883.

Almost surely, 2^311881319136 is an apocalyptic number.

311881319136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

311881319136 is an abundant number, since it is smaller than the sum of its proper divisors (605352984696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311881319136 is a wasteful number, since it uses less digits than its factorization.

311881319136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120324605 (or 120324588 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The spelling of 311881319136 in words is "three hundred eleven billion, eight hundred eighty-one million, three hundred nineteen thousand, one hundred thirty-six".