13953346100 has 18 divisors (see below), whose sum is σ = 30278761254. Its totient is φ = 5581338400.

The previous prime is 13953346091. The next prime is 13953346123. The reversal of 13953346100 is 164335931.

It can be written as a sum of positive squares in 3 ways, for example, as 473671696 + 13479674404 = 21764^2 + 116102^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69766631 + ... + 69766830.

It is an arithmetic number, because the mean of its divisors is an integer number (1682153403).

Almost surely, 2^13953346100 is an apocalyptic number.

13953346100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13953346100 is an abundant number, since it is smaller than the sum of its proper divisors (16325415154).

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

13953346100 is a wasteful number, since it uses less digits than its factorization.

13953346100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139533475 (or 139533468 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The spelling of 13953346100 in words is "thirteen billion, nine hundred fifty-three million, three hundred forty-six thousand, one hundred".