11312111102032 has 160 divisors (see below), whose sum is σ = 24996800102400. Its totient is φ = 4916079392256.

The previous prime is 11312111102029. The next prime is 11312111102041. The reversal of 11312111102032 is 23020111121311.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2534640633 + ... + 2534645095.

It is an arithmetic number, because the mean of its divisors is an integer number (156230000640).

Almost surely, 2^{11312111102032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312111102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12498400051200).

11312111102032 is an abundant number, since it is smaller than the sum of its proper divisors (13684689000368).

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

11312111102032 is a wasteful number, since it uses less digits than its factorization.

11312111102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8259 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 11312111102032 its reverse (23020111121311), we get a palindrome (34332222223343).

The spelling of 11312111102032 in words is "eleven trillion, three hundred twelve billion, one hundred eleven million, one hundred two thousand, thirty-two".