13011827940 has 36 divisors (see below), whose sum is σ = 39469211964. Its totient is φ = 3469820736.

The previous prime is 13011827921. The next prime is 13011827951. The reversal of 13011827940 is 4972811031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3367016676 + 9644811264 = 58026^2 + 98208^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13011827895 and 13011827904.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36143787 + ... + 36144146.

It is an arithmetic number, because the mean of its divisors is an integer number (1096366999).

Almost surely, 2^13011827940 is an apocalyptic number.

13011827940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13011827940 is an abundant number, since it is smaller than the sum of its proper divisors (26457384024).

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

13011827940 is a wasteful number, since it uses less digits than its factorization.

13011827940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72287948 (or 72287943 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 13011827940 in words is "thirteen billion, eleven million, eight hundred twenty-seven thousand, nine hundred forty".