13730131800 has 672 divisors, whose sum is σ = 59720820480. Its totient is φ = 2850681600.

The previous prime is 13730131777. The next prime is 13730131801. The reversal of 13730131800 is 813103731.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13730131801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11225989 + ... + 11227211.

Almost surely, 2^13730131800 is an apocalyptic number.

13730131800 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 13730131800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29860410240).

13730131800 is an abundant number, since it is smaller than the sum of its proper divisors (45990688680).

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

13730131800 is a wasteful number, since it uses less digits than its factorization.

13730131800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

It can be divided in two parts, 13730 and 131800, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 13730131800 in words is "thirteen billion, seven hundred thirty million, one hundred thirty-one thousand, eight hundred".