31020200001120 has 192 divisors, whose sum is σ = 106626256498944. Its totient is φ = 7517962475520.

The previous prime is 31020200001073. The next prime is 31020200001127. The reversal of 31020200001120 is 2110000202013.

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

It is a junction number, because it is equal to n+sod(n) for n = 31020200001096 and 31020200001105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020200001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18263599 + ... + 19889681.

It is an arithmetic number, because the mean of its divisors is an integer number (555345085932).

Almost surely, 2^{31020200001120} is an apocalyptic number.

31020200001120 is a gapful number since it is divisible by the number (30) 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 31020200001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53313128249472).

31020200001120 is an abundant number, since it is smaller than the sum of its proper divisors (75606056497824).

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

31020200001120 is a wasteful number, since it uses less digits than its factorization.

31020200001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629725 (or 1629717 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 31020200001120 its reverse (2110000202013), we get a palindrome (33130200203133).

The spelling of 31020200001120 in words is "thirty-one trillion, twenty billion, two hundred million, one thousand, one hundred twenty".