131018990004 has 288 divisors, whose sum is σ = 422745523200. Its totient is φ = 33307407360.

The previous prime is 131018989993. The next prime is 131018990017. The reversal of 131018990004 is 400099810131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46475707 + ... + 46478525.

It is an arithmetic number, because the mean of its divisors is an integer number (1467866400).

Almost surely, 2^131018990004 is an apocalyptic number.

131018990004 is a gapful number since it is divisible by the number (14) 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 131018990004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211372761600).

131018990004 is an abundant number, since it is smaller than the sum of its proper divisors (291726533196).

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

131018990004 is a wasteful number, since it uses less digits than its factorization.

131018990004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 131018990004 in words is "one hundred thirty-one billion, eighteen million, nine hundred ninety thousand, four".