101513200 has 120 divisors (see below), whose sum is σ = 264390320. Its totient is φ = 37428480.

The previous prime is 101513197. The next prime is 101513249. The reversal of 101513200 is 2315101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2743582 + ... + 2743618.

Almost surely, 2^101513200 is an apocalyptic number.

101513200 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 101513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132195160).

101513200 is an abundant number, since it is smaller than the sum of its proper divisors (162877120).

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

101513200 is an equidigital number, since it uses as much as digits as its factorization.

101513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 101513200 is about 10075.3759235078. The cubic root of 101513200 is about 466.4883899530.

Adding to 101513200 its reverse (2315101), we get a palindrome (103828301).

The spelling of 101513200 in words is "one hundred one million, five hundred thirteen thousand, two hundred".