1031312100 has 288 divisors, whose sum is σ = 3775480576. Its totient is φ = 211507200.

The previous prime is 1031312083. The next prime is 1031312131. The reversal of 1031312100 is 12131301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1009590 + ... + 1010610.

Almost surely, 2^1031312100 is an apocalyptic number.

1031312100 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 1031312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887740288).

1031312100 is an abundant number, since it is smaller than the sum of its proper divisors (2744168476).

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

1031312100 is a wasteful number, since it uses less digits than its factorization.

1031312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1031312100 is about 32114.0483277957. The cubic root of 1031312100 is about 1010.3302844257.

Adding to 1031312100 its reverse (12131301), we get a palindrome (1043443401).

The spelling of 1031312100 in words is "one billion, thirty-one million, three hundred twelve thousand, one hundred".