111113031012000 has 576 divisors, whose sum is σ = 379963872497664. Its totient is φ = 28382822092800.

The previous prime is 111113031011993. The next prime is 111113031012031. The reversal of 111113031012000 is 210130311111.

It is a super-2 number, since 2×111113031012000² (a number of 29 digits) contains 22 as substring.

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

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, 1281640654 + ... + 1281727346.

It is an arithmetic number, because the mean of its divisors is an integer number (659659500864).

Almost surely, 2^{111113031012000} is an apocalyptic number.

111113031012000 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 111113031012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189981936248832).

111113031012000 is an abundant number, since it is smaller than the sum of its proper divisors (268850841485664).

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

111113031012000 is a wasteful number, since it uses less digits than its factorization.

111113031012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86906 (or 86859 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 111113031012000 its reverse (210130311111), we get a palindrome (111323161323111).

The spelling of 111113031012000 in words is "one hundred eleven trillion, one hundred thirteen billion, thirty-one million, twelve thousand".