10131123202200 has 1152 divisors, whose sum is σ = 46917117112320. Its totient is φ = 1890700185600.

The previous prime is 10131123202127. The next prime is 10131123202309. The reversal of 10131123202200 is 220232113101.

10131123202200 is a `hidden beast` number, since 1 + 0 + 13 + 112 + 320 + 220 + 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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66590617 + ... + 66742583.

It is an arithmetic number, because the mean of its divisors is an integer number (40726664160).

Almost surely, 2^{10131123202200} is an apocalyptic number.

10131123202200 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 10131123202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23458558556160).

10131123202200 is an abundant number, since it is smaller than the sum of its proper divisors (36785993910120).

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

10131123202200 is a wasteful number, since it uses less digits than its factorization.

10131123202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152057 (or 152045 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10131123202200 its reverse (220232113101), we get a palindrome (10351355315301).

The spelling of 10131123202200 in words is "ten trillion, one hundred thirty-one billion, one hundred twenty-three million, two hundred two thousand, two hundred".