6131144100 has 72 divisors (see below), whose sum is σ = 18172149408. Its totient is φ = 1595091200.

The previous prime is 6131144083. The next prime is 6131144111. The reversal of 6131144100 is 14411316.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236934 + ... + 261533.

It is an arithmetic number, because the mean of its divisors is an integer number (252390964).

Almost surely, 2^6131144100 is an apocalyptic number.

6131144100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6131144100 is an abundant number, since it is smaller than the sum of its proper divisors (12041005308).

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

6131144100 is a wasteful number, since it uses less digits than its factorization.

6131144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498525 (or 498518 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 6131144100 is about 78301.6225885518. The cubic root of 6131144100 is about 1830.2644366890.

Adding to 6131144100 its reverse (14411316), we get a palindrome (6145555416).

The spelling of 6131144100 in words is "six billion, one hundred thirty-one million, one hundred forty-four thousand, one hundred".