13103262900 has 648 divisors, whose sum is σ = 52598966784. Its totient is φ = 2668723200.

The previous prime is 13103262877. The next prime is 13103262901. The reversal of 13103262900 is 926230131.

13103262900 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 32 + 629 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103262901) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 33005502 + ... + 33005898.

Almost surely, 2^13103262900 is an apocalyptic number.

13103262900 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 13103262900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26299483392).

13103262900 is an abundant number, since it is smaller than the sum of its proper divisors (39495703884).

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

13103262900 is a wasteful number, since it uses less digits than its factorization.

13103262900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 13103262900 in words is "thirteen billion, one hundred three million, two hundred sixty-two thousand, nine hundred".