13434721300 has 144 divisors (see below), whose sum is σ = 39143244672. Its totient is φ = 3865305600.

The previous prime is 13434721253. The next prime is 13434721331. The reversal of 13434721300 is 312743431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32994 + ... + 167206.

It is an arithmetic number, because the mean of its divisors is an integer number (271828088).

Almost surely, 2^13434721300 is an apocalyptic number.

13434721300 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 13434721300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19571622336).

13434721300 is an abundant number, since it is smaller than the sum of its proper divisors (25708523372).

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

13434721300 is a wasteful number, since it uses less digits than its factorization.

13434721300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134258 (or 134251 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 13434721300 in words is "thirteen billion, four hundred thirty-four million, seven hundred twenty-one thousand, three hundred".