101513502720 has 1344 divisors, whose sum is σ = 439670439936. Its totient is φ = 21976842240.

The previous prime is 101513502709. The next prime is 101513502749. The reversal of 101513502720 is 27205315101.

101513502720 is a `hidden beast` number, since 1 + 0 + 151 + 3 + 502 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2159861737 + ... + 2159861783.

It is an arithmetic number, because the mean of its divisors is an integer number (327135744).

Almost surely, 2^101513502720 is an apocalyptic number.

101513502720 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 101513502720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219835219968).

101513502720 is an abundant number, since it is smaller than the sum of its proper divisors (338156937216).

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

101513502720 is an frugal number, since it uses more digits than its factorization.

101513502720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 101513502720 its reverse (27205315101), we get a palindrome (128718817821).

The spelling of 101513502720 in words is "one hundred one billion, five hundred thirteen million, five hundred two thousand, seven hundred twenty".