9981387513000 has 512 divisors, whose sum is σ = 35452505088000. Its totient is φ = 2596451155200.

The previous prime is 9981387512989. The next prime is 9981387513023. The reversal of 9981387513000 is 3157831899.

9981387513000 is a `hidden beast` number, since 9 + 98 + 1 + 38 + 7 + 513 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 974073877 + ... + 974084123.

It is an arithmetic number, because the mean of its divisors is an integer number (69243174000).

Almost surely, 2^{9981387513000} is an apocalyptic number.

9981387513000 is a gapful number since it is divisible by the number (90) 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 9981387513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17726252544000).

9981387513000 is an abundant number, since it is smaller than the sum of its proper divisors (25471117575000).

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

9981387513000 is a wasteful number, since it uses less digits than its factorization.

9981387513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11159 (or 11139 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 9981387513000 in words is "nine trillion, nine hundred eighty-one billion, three hundred eighty-seven million, five hundred thirteen thousand".