131403432120976 has 160 divisors (see below), whose sum is σ = 268334290506240. Its totient is φ = 62216707018752.

The previous prime is 131403432120929. The next prime is 131403432120977. The reversal of 131403432120976 is 679021234304131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (131403432120977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32104427986 + ... + 32104432078.

It is an arithmetic number, because the mean of its divisors is an integer number (1677089315664).

Almost surely, 2^{131403432120976} is an apocalyptic number.

131403432120976 is a gapful number since it is divisible by the number (16) 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 131403432120976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134167145253120).

131403432120976 is an abundant number, since it is smaller than the sum of its proper divisors (136930858385264).

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

131403432120976 is a wasteful number, since it uses less digits than its factorization.

131403432120976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6273 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 131403432120976 in words is "one hundred thirty-one trillion, four hundred three billion, four hundred thirty-two million, one hundred twenty thousand, nine hundred seventy-six".