131030010000 has 300 divisors, whose sum is σ = 459595282432. Its totient is φ = 34837344000.

The previous prime is 131030009987. The next prime is 131030010107. The reversal of 131030010000 is 10030131.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 33028017 + ... + 33031983.

Almost surely, 2^131030010000 is an apocalyptic number.

131030010000 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 131030010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229797641216).

131030010000 is an abundant number, since it is smaller than the sum of its proper divisors (328565272432).

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

131030010000 is a wasteful number, since it uses less digits than its factorization.

131030010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368 (or 4344 counting only the distinct ones).

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

Adding to 131030010000 its reverse (10030131), we get a palindrome (131040040131).

The spelling of 131030010000 in words is "one hundred thirty-one billion, thirty million, ten thousand".