131403503251020 has 1152 divisors, whose sum is σ = 512978559916032. Its totient is φ = 24699761049600.

The previous prime is 131403503250997. The next prime is 131403503251043. The reversal of 131403503251020 is 20152305304131.

It is an interprime number because it is at equal distance from previous prime (131403503250997) and next prime (131403503251043).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4818419985 + ... + 4818447255.

It is an arithmetic number, because the mean of its divisors is an integer number (445293888816).

Almost surely, 2^{131403503251020} is an apocalyptic number.

131403503251020 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 131403503251020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256489279958016).

131403503251020 is an abundant number, since it is smaller than the sum of its proper divisors (381575056665012).

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

131403503251020 is a wasteful number, since it uses less digits than its factorization.

131403503251020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27551 (or 27542 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 131403503251020 its reverse (20152305304131), we get a palindrome (151555808555151).

The spelling of 131403503251020 in words is "one hundred thirty-one trillion, four hundred three billion, five hundred three million, two hundred fifty-one thousand, twenty".