101310031200 has 288 divisors, whose sum is σ = 399043459584. Its totient is φ = 21794365440.

The previous prime is 101310031181. The next prime is 101310031289. The reversal of 101310031200 is 2130013101.

It is a super-5 number, since 5×101310031200⁵ (a number of 56 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108237 + ... + 462963.

It is an arithmetic number, because the mean of its divisors is an integer number (1385567568).

Almost surely, 2^101310031200 is an apocalyptic number.

101310031200 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 101310031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199521729792).

101310031200 is an abundant number, since it is smaller than the sum of its proper divisors (297733428384).

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

101310031200 is a wasteful number, since it uses less digits than its factorization.

101310031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354774 (or 354761 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101310031200 its reverse (2130013101), we get a palindrome (103440044301).

The spelling of 101310031200 in words is "one hundred one billion, three hundred ten million, thirty-one thousand, two hundred".