10001131113402 has 384 divisors, whose sum is σ = 27253150928640. Its totient is φ = 2605435269120.

The previous prime is 10001131113401. The next prime is 10001131113431. The reversal of 10001131113402 is 20431113110001.

It is a happy number.

10001131113402 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 11 + 311 + 1 + 340 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10001131113401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1131729328 + ... + 1131738164.

It is an arithmetic number, because the mean of its divisors is an integer number (70971747210).

Almost surely, 2^{10001131113402} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001131113402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13626575464320).

10001131113402 is an abundant number, since it is smaller than the sum of its proper divisors (17252019815238).

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

10001131113402 is a wasteful number, since it uses less digits than its factorization.

10001131113402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9278 (or 9275 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10001131113402 its reverse (20431113110001), we get a palindrome (30432244223403).

The spelling of 10001131113402 in words is "ten trillion, one billion, one hundred thirty-one million, one hundred thirteen thousand, four hundred two".