1031013122100 has 144 divisors (see below), whose sum is σ = 3213487323648. Its totient is φ = 253712309760.

The previous prime is 1031013122057. The next prime is 1031013122107. The reversal of 1031013122100 is 12213101301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1031013122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031013122107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13678717 + ... + 13753883.

It is an arithmetic number, because the mean of its divisors is an integer number (22315884192).

Almost surely, 2^{1031013122100} is an apocalyptic number.

1031013122100 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 1031013122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606743661824).

1031013122100 is an abundant number, since it is smaller than the sum of its proper divisors (2182474201548).

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

1031013122100 is a wasteful number, since it uses less digits than its factorization.

1031013122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78714 (or 78707 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1031013122100 its reverse (12213101301), we get a palindrome (1043226223401).

The spelling of 1031013122100 in words is "one trillion, thirty-one billion, thirteen million, one hundred twenty-two thousand, one hundred".