102314302130040 has 1024 divisors, whose sum is σ = 432263863664640. Its totient is φ = 18688023060480.

The previous prime is 102314302129933. The next prime is 102314302130059. The reversal of 102314302130040 is 40031203413201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 208643779 + ... + 209133581.

It is an arithmetic number, because the mean of its divisors is an integer number (422132679360).

Almost surely, 2^{102314302130040} is an apocalyptic number.

102314302130040 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 102314302130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216131931832320).

102314302130040 is an abundant number, since it is smaller than the sum of its proper divisors (329949561534600).

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

102314302130040 is a wasteful number, since it uses less digits than its factorization.

102314302130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489932 (or 489928 counting only the distinct ones).

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

Adding to 102314302130040 its reverse (40031203413201), we get a palindrome (142345505543241).

The spelling of 102314302130040 in words is "one hundred two trillion, three hundred fourteen billion, three hundred two million, one hundred thirty thousand, forty".