1013178106200 has 192 divisors, whose sum is σ = 3383266269600. Its totient is φ = 249337958400.

The previous prime is 1013178106181. The next prime is 1013178106217. The reversal of 1013178106200 is 26018713101.

1013178106200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 38745130 + ... + 38771270.

Almost surely, 2^{1013178106200} is an apocalyptic number.

1013178106200 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 1013178106200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691633134800).

1013178106200 is an abundant number, since it is smaller than the sum of its proper divisors (2370088163400).

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

1013178106200 is a wasteful number, since it uses less digits than its factorization.

1013178106200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31142 (or 31133 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 1013178106200 in words is "one trillion, thirteen billion, one hundred seventy-eight million, one hundred six thousand, two hundred".