101513052000 has 576 divisors, whose sum is σ = 391859342784. Its totient is φ = 24783667200.

The previous prime is 101513051989. The next prime is 101513052007. The reversal of 101513052000 is 250315101.

101513052000 is a `hidden beast` number, since 1 + 0 + 15 + 130 + 520 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101513052007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22641759 + ... + 22646241.

It is an arithmetic number, because the mean of its divisors is an integer number (680311359).

Almost surely, 2^101513052000 is an apocalyptic number.

101513052000 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 101513052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195929671392).

101513052000 is an abundant number, since it is smaller than the sum of its proper divisors (290346290784).

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

101513052000 is a wasteful number, since it uses less digits than its factorization.

101513052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 101513052000 its reverse (250315101), we get a palindrome (101763367101).

The spelling of 101513052000 in words is "one hundred one billion, five hundred thirteen million, fifty-two thousand".