1020311100 has 144 divisors (see below), whose sum is σ = 3473215200. Its totient is φ = 256066560.

The previous prime is 1020311093. The next prime is 1020311107. The reversal of 1020311100 is 11130201.

It is an interprime number because it is at equal distance from previous prime (1020311093) and next prime (1020311107).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020311107) 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, 34786 + ... + 57014.

It is an arithmetic number, because the mean of its divisors is an integer number (24119550).

Almost surely, 2^1020311100 is an apocalyptic number.

1020311100 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 1020311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736607600).

1020311100 is an abundant number, since it is smaller than the sum of its proper divisors (2452904100).

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

1020311100 is a wasteful number, since it uses less digits than its factorization.

1020311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22269 (or 22256 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1020311100 is about 31942.3089334506. The cubic root of 1020311100 is about 1006.7250391328.

Adding to 1020311100 its reverse (11130201), we get a palindrome (1031441301).

The spelling of 1020311100 in words is "one billion, twenty million, three hundred eleven thousand, one hundred".