131110100940 has 768 divisors, whose sum is σ = 480004890624. Its totient is φ = 26011238400.

The previous prime is 131110100939. The next prime is 131110100941. The reversal of 131110100940 is 49001011131.

It is an interprime number because it is at equal distance from previous prime (131110100939) and next prime (131110100941).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (131110100941) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1160266324 + ... + 1160266436.

It is an arithmetic number, because the mean of its divisors is an integer number (625006368).

Almost surely, 2^131110100940 is an apocalyptic number.

131110100940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131110100940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240002445312).

131110100940 is an abundant number, since it is smaller than the sum of its proper divisors (348894789684).

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

131110100940 is a wasteful number, since it uses less digits than its factorization.

131110100940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

The spelling of 131110100940 in words is "one hundred thirty-one billion, one hundred ten million, one hundred thousand, nine hundred forty".