11102013313132 has 144 divisors (see below), whose sum is σ = 23176684016640. Its totient is φ = 4638395664000.

The previous prime is 11102013313123. The next prime is 11102013313141. The reversal of 11102013313132 is 23131331020111.

It is an interprime number because it is at equal distance from previous prime (11102013313123) and next prime (11102013313141).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 762965257 + ... + 762979807.

It is an arithmetic number, because the mean of its divisors is an integer number (160949194560).

Almost surely, 2^{11102013313132} 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 11102013313132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11588342008320).

11102013313132 is an abundant number, since it is smaller than the sum of its proper divisors (12074670703508).

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

11102013313132 is a wasteful number, since it uses less digits than its factorization.

11102013313132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15252 (or 15243 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 11102013313132 its reverse (23131331020111), we get a palindrome (34233344333243).

The spelling of 11102013313132 in words is "eleven trillion, one hundred two billion, thirteen million, three hundred thirteen thousand, one hundred thirty-two".