101313132121200 has 480 divisors, whose sum is σ = 330004687612096. Its totient is φ = 26565861703680.

The previous prime is 101313132121139. The next prime is 101313132121219. The reversal of 101313132121200 is 2121231313101.

It is a super-2 number, since 2×101313132121200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21049889994 + ... + 21049894806.

Almost surely, 2^{101313132121200} is an apocalyptic number.

101313132121200 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 101313132121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165002343806048).

101313132121200 is an abundant number, since it is smaller than the sum of its proper divisors (228691555490896).

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

101313132121200 is a wasteful number, since it uses less digits than its factorization.

101313132121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6061 (or 6050 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101313132121200 its reverse (2121231313101), we get a palindrome (103434363434301).

The spelling of 101313132121200 in words is "one hundred one trillion, three hundred thirteen billion, one hundred thirty-two million, one hundred twenty-one thousand, two hundred".