11111311110000 has 400 divisors, whose sum is σ = 36173821671680. Its totient is φ = 2937876480000.

The previous prime is 11111311109993. The next prime is 11111311110013. The reversal of 11111311110000 is 1111311111.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×11111311110000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4808008845 + ... + 4808011155.

Almost surely, 2^{11111311110000} is an apocalyptic number.

11111311110000 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 11111311110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18086910835840).

11111311110000 is an abundant number, since it is smaller than the sum of its proper divisors (25062510561680).

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

11111311110000 is a wasteful number, since it uses less digits than its factorization.

11111311110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 12.

Adding to 11111311110000 its reverse (1111311111), we get a palindrome (11112422421111).

The spelling of 11111311110000 in words is "eleven trillion, one hundred eleven billion, three hundred eleven million, one hundred ten thousand".