101521413000 has 192 divisors, whose sum is σ = 392162958720. Its totient is φ = 23204880000.

The previous prime is 101521412989. The next prime is 101521413029. The reversal of 101521413000 is 314125101.

101521413000 is a `hidden beast` number, since 10 + 1 + 521 + 4 + 130 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 742726 + ... + 868725.

It is an arithmetic number, because the mean of its divisors is an integer number (2042515410).

Almost surely, 2^101521413000 is an apocalyptic number.

101521413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101521413000 is an abundant number, since it is smaller than the sum of its proper divisors (290641545720).

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

101521413000 is a wasteful number, since it uses less digits than its factorization.

101521413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611485 (or 1611468 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 101521413000 its reverse (314125101), we get a palindrome (101835538101).

The spelling of 101521413000 in words is "one hundred one billion, five hundred twenty-one million, four hundred thirteen thousand".