1011661431300 has 360 divisors, whose sum is σ = 3540021674112. Its totient is φ = 248435424000.

The previous prime is 1011661431299. The next prime is 1011661431301. The reversal of 1011661431300 is 31341661101.

1011661431300 is a `hidden beast` number, since 1 + 0 + 1 + 16 + 614 + 3 + 1 + 30 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1011661431299) and next prime (1011661431301).

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

It is not an unprimeable number, because it can be changed into a prime (1011661431301) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 45373155 + ... + 45395445.

Almost surely, 2^{1011661431300} is an apocalyptic number.

1011661431300 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 1011661431300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770010837056).

1011661431300 is an abundant number, since it is smaller than the sum of its proper divisors (2528360242812).

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

1011661431300 is a wasteful number, since it uses less digits than its factorization.

1011661431300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22761 (or 22745 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 1011661431300 in words is "one trillion, eleven billion, six hundred sixty-one million, four hundred thirty-one thousand, three hundred".