31123011201300 has 432 divisors, whose sum is σ = 100693026400512. Its totient is φ = 8034685747200.

The previous prime is 31123011201283. The next prime is 31123011201323. The reversal of 31123011201300 is 310211032113.

31123011201300 is a `hidden beast` number, since 3 + 11 + 230 + 1 + 120 + 1 + 300 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11151202905 + ... + 11151205695.

Almost surely, 2^{31123011201300} is an apocalyptic number.

31123011201300 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 31123011201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50346513200256).

31123011201300 is an abundant number, since it is smaller than the sum of its proper divisors (69570015199212).

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

31123011201300 is a wasteful number, since it uses less digits than its factorization.

31123011201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4398 counting only the distinct ones).

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

Adding to 31123011201300 its reverse (310211032113), we get a palindrome (31433222233413).

The spelling of 31123011201300 in words is "thirty-one trillion, one hundred twenty-three billion, eleven million, two hundred one thousand, three hundred".