1022313131100 has 144 divisors (see below), whose sum is σ = 3306711690240. Its totient is φ = 270944222400.

The previous prime is 1022313131087. The next prime is 1022313131101. The reversal of 1022313131100 is 11313132201.

1022313131100 is a `hidden beast` number, since 1 + 0 + 223 + 131 + 311 + 0 + 0 = 666.

1022313131100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022313131101) 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, 721356 + ... + 1601555.

Almost surely, 2^{1022313131100} is an apocalyptic number.

1022313131100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022313131100 is an abundant number, since it is smaller than the sum of its proper divisors (2284398559140).

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

1022313131100 is a wasteful number, since it uses less digits than its factorization.

1022313131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323097 (or 2323084 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1022313131100 its reverse (11313132201), we get a palindrome (1033626263301).

The spelling of 1022313131100 in words is "one trillion, twenty-two billion, three hundred thirteen million, one hundred thirty-one thousand, one hundred".