42313202131200 has 3456 divisors, whose sum is σ = 194297017528320. Its totient is φ = 7825666867200.

The previous prime is 42313202131103. The next prime is 42313202131271. The reversal of 42313202131200 is 213120231324.

It is a super-3 number, since 3×42313202131200³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 111644332611 + ... + 111644332989.

Almost surely, 2^{42313202131200} is an apocalyptic number.

42313202131200 is a gapful number since it is divisible by the number (40) 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 42313202131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97148508764160).

42313202131200 is an abundant number, since it is smaller than the sum of its proper divisors (151983815397120).

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

42313202131200 is a wasteful number, since it uses less digits than its factorization.

42313202131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42313202131200 its reverse (213120231324), we get a palindrome (42526322362524).

The spelling of 42313202131200 in words is "forty-two trillion, three hundred thirteen billion, two hundred two million, one hundred thirty-one thousand, two hundred".