103111113020310 has 192 divisors, whose sum is σ = 294174328780800. Its totient is φ = 24941627805696.

The previous prime is 103111113020257. The next prime is 103111113020329. The reversal of 103111113020310 is 13020311111301.

103111113020310 is a `hidden beast` number, since 1 + 0 + 31 + 11 + 11 + 302 + 0 + 310 = 666.

It is a super-2 number, since 2×103111113020310² (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 95 ways as a sum of consecutive naturals, for example, 22628011 + ... + 26800169.

It is an arithmetic number, because the mean of its divisors is an integer number (1532157962400).

Almost surely, 2^{103111113020310} is an apocalyptic number.

103111113020310 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 103111113020310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147087164390400).

103111113020310 is an abundant number, since it is smaller than the sum of its proper divisors (191063215760490).

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

103111113020310 is a wasteful number, since it uses less digits than its factorization.

103111113020310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172775 (or 4172772 counting only the distinct ones).

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

Adding to 103111113020310 its reverse (13020311111301), we get a palindrome (116131424131611).

The spelling of 103111113020310 in words is "one hundred three trillion, one hundred eleven billion, one hundred thirteen million, twenty thousand, three hundred ten".