1023132313200 has 120 divisors (see below), whose sum is σ = 3278050155648. Its totient is φ = 272783978240.

The previous prime is 1023132313171. The next prime is 1023132313207. The reversal of 1023132313200 is 23132313201.

1023132313200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023132313207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6530989 + ... + 6685811.

Almost surely, 2^{1023132313200} is an apocalyptic number.

1023132313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023132313200 is an abundant number, since it is smaller than the sum of its proper divisors (2254917842448).

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

1023132313200 is a wasteful number, since it uses less digits than its factorization.

1023132313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160351 (or 160340 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1023132313200 its reverse (23132313201), we get a palindrome (1046264626401).

Subtracting from 1023132313200 its reverse (23132313201), we obtain a palindrome (999999999999).

The spelling of 1023132313200 in words is "one trillion, twenty-three billion, one hundred thirty-two million, three hundred thirteen thousand, two hundred".