31331200011100 has 288 divisors, whose sum is σ = 79926631868160. Its totient is φ = 10540212480000.

The previous prime is 31331200011011. The next prime is 31331200011101. The reversal of 31331200011100 is 111000213313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31331200011101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153994039 + ... + 154197361.

It is an arithmetic number, because the mean of its divisors is an integer number (277523027320).

Almost surely, 2^{31331200011100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31331200011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39963315934080).

31331200011100 is an abundant number, since it is smaller than the sum of its proper divisors (48595431857060).

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

31331200011100 is a wasteful number, since it uses less digits than its factorization.

31331200011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203541 (or 203534 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 31331200011100 its reverse (111000213313), we get a palindrome (31442200224413).

The spelling of 31331200011100 in words is "thirty-one trillion, three hundred thirty-one billion, two hundred million, eleven thousand, one hundred".