102013320231000 has 768 divisors, whose sum is σ = 382030649544960. Its totient is φ = 24441263308800.

The previous prime is 102013320230977. The next prime is 102013320231149. The reversal of 102013320231000 is 132023310201.

102013320231000 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 332 + 0 + 2 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×102013320231000² (a number of 29 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 299862997 + ... + 300203003.

It is an arithmetic number, because the mean of its divisors is an integer number (497435741595).

Almost surely, 2^{102013320231000} is an apocalyptic number.

102013320231000 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 102013320231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191015324772480).

102013320231000 is an abundant number, since it is smaller than the sum of its proper divisors (280017329313960).

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

102013320231000 is a wasteful number, since it uses less digits than its factorization.

102013320231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340141 (or 340124 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102013320231000 its reverse (132023310201), we get a palindrome (102145343541201).

The spelling of 102013320231000 in words is "one hundred two trillion, thirteen billion, three hundred twenty million, two hundred thirty-one thousand".