13138193880 has 192 divisors, whose sum is σ = 49837731840. Its totient is φ = 2939095296.

The previous prime is 13138193879. The next prime is 13138193909. The reversal of 13138193880 is 8839183131.

It is a super-2 number, since 2×13138193880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 62977 + ... + 173903.

It is an arithmetic number, because the mean of its divisors is an integer number (259571520).

Almost surely, 2^13138193880 is an apocalyptic number.

13138193880 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 13138193880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24918865920).

13138193880 is an abundant number, since it is smaller than the sum of its proper divisors (36699537960).

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

13138193880 is a wasteful number, since it uses less digits than its factorization.

13138193880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110998 (or 110991 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 13138193880 in words is "thirteen billion, one hundred thirty-eight million, one hundred ninety-three thousand, eight hundred eighty".