11413123101000 has 256 divisors, whose sum is σ = 40929823584000. Its totient is φ = 2938551033600.

The previous prime is 11413123100969. The next prime is 11413123101031. The reversal of 11413123101000 is 10132131411.

It is a happy number.

11413123101000 is a `hidden beast` number, since 1 + 1 + 41 + 312 + 310 + 1 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11413123100969) and next prime (11413123101031).

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

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 63 ways as a sum of consecutive naturals, for example, 6505074 + ... + 8071073.

It is an arithmetic number, because the mean of its divisors is an integer number (159882123375).

Almost surely, 2^{11413123101000} is an apocalyptic number.

11413123101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11413123101000 is an abundant number, since it is smaller than the sum of its proper divisors (29516700483000).

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

11413123101000 is a wasteful number, since it uses less digits than its factorization.

11413123101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14576206 (or 14576186 counting only the distinct ones).

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

Adding to 11413123101000 its reverse (10132131411), we get a palindrome (11423255232411).

The spelling of 11413123101000 in words is "eleven trillion, four hundred thirteen billion, one hundred twenty-three million, one hundred one thousand".