11113210001400 has 384 divisors, whose sum is σ = 37299555384000. Its totient is φ = 2720961331200.

The previous prime is 11113210001389. The next prime is 11113210001437. The reversal of 11113210001400 is 410001231111.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11113210001400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1146041352 + ... + 1146051048.

Almost surely, 2^{11113210001400} is an apocalyptic number.

11113210001400 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 11113210001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18649777692000).

11113210001400 is an abundant number, since it is smaller than the sum of its proper divisors (26186345382600).

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

11113210001400 is a wasteful number, since it uses less digits than its factorization.

11113210001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10499 (or 10490 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11113210001400 its reverse (410001231111), we get a palindrome (11523211232511).

The spelling of 11113210001400 in words is "eleven trillion, one hundred thirteen billion, two hundred ten million, one thousand, four hundred".