102013233231120 has 320 divisors, whose sum is σ = 353251899360000. Its totient is φ = 24201748021248.

The previous prime is 102013233231097. The next prime is 102013233231121. The reversal of 102013233231120 is 21132332310201.

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

It is not an unprimeable number, because it can be changed into a prime (102013233231121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33341046 + ... + 36271914.

It is an arithmetic number, because the mean of its divisors is an integer number (1103912185500).

Almost surely, 2^{102013233231120} is an apocalyptic number.

102013233231120 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 102013233231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176625949680000).

102013233231120 is an abundant number, since it is smaller than the sum of its proper divisors (251238666128880).

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

102013233231120 is a wasteful number, since it uses less digits than its factorization.

102013233231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2931370 (or 2931364 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102013233231120 its reverse (21132332310201), we get a palindrome (123145565541321).

The spelling of 102013233231120 in words is "one hundred two trillion, thirteen billion, two hundred thirty-three million, two hundred thirty-one thousand, one hundred twenty".