102311313000000 has 392 divisors, whose sum is σ = 364397546901696. Its totient is φ = 25184313600000.

The previous prime is 102311312999969. The next prime is 102311313000031. The reversal of 102311313000000 is 313113201.

It is an interprime number because it is at equal distance from previous prime (102311312999969) and next prime (102311313000031).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 37688317 + ... + 40311683.

Almost surely, 2^{102311313000000} is an apocalyptic number.

102311313000000 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 102311313000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182198773450848).

102311313000000 is an abundant number, since it is smaller than the sum of its proper divisors (262086233901696).

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

102311313000000 is an frugal number, since it uses more digits than its factorization.

102311313000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623425 (or 2623390 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 102311313000000 its reverse (313113201), we get a palindrome (102311626113201).

The spelling of 102311313000000 in words is "one hundred two trillion, three hundred eleven billion, three hundred thirteen million", and thus it is an aban number.