1023131122200 has 288 divisors, whose sum is σ = 3759146118000. Its totient is φ = 247319424000.

The previous prime is 1023131122193. The next prime is 1023131122217. The reversal of 1023131122200 is 22211313201.

1023131122200 is a `hidden beast` number, since 102 + 31 + 311 + 2 + 220 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6836170 + ... + 6984230.

Almost surely, 2^{1023131122200} is an apocalyptic number.

1023131122200 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 1023131122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879573059000).

1023131122200 is an abundant number, since it is smaller than the sum of its proper divisors (2736014995800).

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

1023131122200 is a wasteful number, since it uses less digits than its factorization.

1023131122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148443 (or 148431 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1023131122200 its reverse (22211313201), we get a palindrome (1045342435401).

The spelling of 1023131122200 in words is "one trillion, twenty-three billion, one hundred thirty-one million, one hundred twenty-two thousand, two hundred".