103312011110000 has 600 divisors, whose sum is σ = 331218668398464. Its totient is φ = 30801059520000.

The previous prime is 103312011109999. The next prime is 103312011110039. The reversal of 103312011110000 is 11110213301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 123553319 + ... + 124386681.

Almost surely, 2^{103312011110000} is an apocalyptic number.

103312011110000 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 103312011110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165609334199232).

103312011110000 is an abundant number, since it is smaller than the sum of its proper divisors (227906657288464).

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

103312011110000 is a wasteful number, since it uses less digits than its factorization.

103312011110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833439 (or 833411 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 103312011110000 its reverse (11110213301), we get a palindrome (103323121323301).

The spelling of 103312011110000 in words is "one hundred three trillion, three hundred twelve billion, eleven million, one hundred ten thousand".