101131000311 has 24 divisors (see below), whose sum is σ = 150643799152. Its totient is φ = 60286723200.

The previous prime is 101131000279. The next prime is 101131000331. The reversal of 101131000311 is 113000131101.

It is not a de Polignac number, because 101131000311 - 2⁵ = 101131000279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131000331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2261446 + ... + 2305731.

Almost surely, 2^101131000311 is an apocalyptic number.

101131000311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101131000311 is a deficient number, since it is larger than the sum of its proper divisors (49512798841).

101131000311 is a wasteful number, since it uses less digits than its factorization.

101131000311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567263 (or 4567252 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 101131000311 its reverse (113000131101), we get a palindrome (214131131412).

The spelling of 101131000311 in words is "one hundred one billion, one hundred thirty-one million, three hundred eleven", and thus it is an aban number.