13011964900 has 243 divisors, whose sum is σ = 33518617041. Its totient is φ = 4380288000.

The previous prime is 13011964873. The next prime is 13011964909. The reversal of 13011964900 is 946911031.

It is a happy number.

The square root of 13011964900 is 114070.

It is a perfect power (a square), and thus also a powerful number.

13011964900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 11606614756 + 1405350144 = 107734^2 + 37488^2 .

It is a super-2 number, since 2×13011964900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13011964909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 213310870 + ... + 213310930.

Almost surely, 2^13011964900 is an apocalyptic number.

13011964900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13011964900 is the 114070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13011964900

13011964900 is an abundant number, since it is smaller than the sum of its proper divisors (20506652141).

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

13011964900 is a wasteful number, since it uses less digits than its factorization.

13011964900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The spelling of 13011964900 in words is "thirteen billion, eleven million, nine hundred sixty-four thousand, nine hundred".