311145135100 has 36 divisors (see below), whose sum is σ = 675218205144. Its totient is φ = 124451922880.

The previous prime is 311145134987. The next prime is 311145135127. The reversal of 311145135100 is 1531541113.

It is a super-2 number, since 2×311145135100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2343702 + ... + 2472898.

It is an arithmetic number, because the mean of its divisors is an integer number (18756061254).

Almost surely, 2^311145135100 is an apocalyptic number.

It is an amenable number.

311145135100 is an abundant number, since it is smaller than the sum of its proper divisors (364073070044).

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

311145135100 is a wasteful number, since it uses less digits than its factorization.

311145135100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153294 (or 153287 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 311145135100 its reverse (1531541113), we get a palindrome (312676676213).

The spelling of 311145135100 in words is "three hundred eleven billion, one hundred forty-five million, one hundred thirty-five thousand, one hundred".