1013711778900 has 144 divisors (see below), whose sum is σ = 3266030682880. Its totient is φ = 269731296000.

The previous prime is 1013711778857. The next prime is 1013711778901. The reversal of 1013711778900 is 98771173101.

1013711778900 is a `hidden beast` number, since 101 + 371 + 177 + 8 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×1013711778900² (a number of 25 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 not an unprimeable number, because it can be changed into a prime (1013711778901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823125 + ... + 1644675.

Almost surely, 2^{1013711778900} is an apocalyptic number.

1013711778900 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 1013711778900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633015341440).

1013711778900 is an abundant number, since it is smaller than the sum of its proper divisors (2252318903980).

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

1013711778900 is a wasteful number, since it uses less digits than its factorization.

1013711778900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822031 (or 822018 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 45.

The spelling of 1013711778900 in words is "one trillion, thirteen billion, seven hundred eleven million, seven hundred seventy-eight thousand, nine hundred".