1031661431130 has 192 divisors, whose sum is σ = 2790095995008. Its totient is φ = 243809280000.

The previous prime is 1031661431057. The next prime is 1031661431131. The reversal of 1031661431130 is 311341661301.

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

It is not an unprimeable number, because it can be changed into a prime (1031661431131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309713565 + ... + 309716895.

It is an arithmetic number, because the mean of its divisors is an integer number (14531749974).

Almost surely, 2^{1031661431130} is an apocalyptic number.

1031661431130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031661431130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395047997504).

1031661431130 is an abundant number, since it is smaller than the sum of its proper divisors (1758434563878).

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

1031661431130 is a wasteful number, since it uses less digits than its factorization.

1031661431130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485 (or 5474 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 1031661431130 in words is "one trillion, thirty-one billion, six hundred sixty-one million, four hundred thirty-one thousand, one hundred thirty".