13470148100 has 72 divisors (see below), whose sum is σ = 29823481800. Its totient is φ = 5279385600.

The previous prime is 13470148091. The next prime is 13470148207. The reversal of 13470148100 is 184107431.

It can be written as a sum of positive squares in 12 ways, for example, as 12876348676 + 593799424 = 113474^2 + 24368^2 .

It is a super-2 number, since 2×13470148100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1636796 + ... + 1645004.

It is an arithmetic number, because the mean of its divisors is an integer number (414215025).

Almost surely, 2^13470148100 is an apocalyptic number.

13470148100 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 13470148100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14911740900).

13470148100 is an abundant number, since it is smaller than the sum of its proper divisors (16353333700).

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

13470148100 is a wasteful number, since it uses less digits than its factorization.

13470148100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8553 (or 8546 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The spelling of 13470148100 in words is "thirteen billion, four hundred seventy million, one hundred forty-eight thousand, one hundred".