102311311101030 has 192 divisors, whose sum is σ = 272737454520960. Its totient is φ = 26603657625600.

The previous prime is 102311311100987. The next prime is 102311311101047. The reversal of 102311311101030 is 30101113113201.

102311311101030 is a `hidden beast` number, since 1 + 0 + 2 + 311 + 311 + 1 + 0 + 10 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102311311100994 and 102311311101012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198574950 + ... + 199089510.

It is an arithmetic number, because the mean of its divisors is an integer number (1420507575630).

Almost surely, 2^{102311311101030} is an apocalyptic number.

102311311101030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102311311101030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136368727260480).

102311311101030 is an abundant number, since it is smaller than the sum of its proper divisors (170426143419930).

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

102311311101030 is a wasteful number, since it uses less digits than its factorization.

102311311101030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515007 (or 515004 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 102311311101030 its reverse (30101113113201), we get a palindrome (132412424214231).

The spelling of 102311311101030 in words is "one hundred two trillion, three hundred eleven billion, three hundred eleven million, one hundred one thousand, thirty".