23031133200000 has 576 divisors, whose sum is σ = 83599208292600. Its totient is φ = 6085186560000.

The previous prime is 23031133199999. The next prime is 23031133200017. The reversal of 23031133200000 is 233113032.

23031133200000 is a `hidden beast` number, since 2 + 30 + 311 + 3 + 320 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8779179369024 + 14251953830976 = 2962968^2 + 3775176^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×23031133200000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 392370654 + ... + 392429346.

Almost surely, 2^{23031133200000} is an apocalyptic number.

23031133200000 is a gapful number since it is divisible by the number (20) 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 23031133200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41799604146300).

23031133200000 is an abundant number, since it is smaller than the sum of its proper divisors (60568075092600).

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

23031133200000 is an equidigital number, since it uses as much as digits as its factorization.

23031133200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58847 (or 58812 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23031133200000 its reverse (233113032), we get a palindrome (23031366313032).

The spelling of 23031133200000 in words is "twenty-three trillion, thirty-one billion, one hundred thirty-three million, two hundred thousand".