31132131110010 has 288 divisors, whose sum is σ = 97107277842432. Its totient is φ = 6895696147200.

The previous prime is 31132131109997. The next prime is 31132131110039. The reversal of 31132131110010 is 1001113123113.

31132131110010 is a `hidden beast` number, since 3 + 11 + 321 + 311 + 10 + 0 + 10 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23436660 + ... + 24729360.

It is an arithmetic number, because the mean of its divisors is an integer number (337178048064).

Almost surely, 2^{31132131110010} is an apocalyptic number.

31132131110010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31132131110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48553638921216).

31132131110010 is an abundant number, since it is smaller than the sum of its proper divisors (65975146732422).

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

31132131110010 is a wasteful number, since it uses less digits than its factorization.

31132131110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292898 (or 1292888 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 31132131110010 its reverse (1001113123113), we get a palindrome (32133244233123).

The spelling of 31132131110010 in words is "thirty-one trillion, one hundred thirty-two billion, one hundred thirty-one million, one hundred ten thousand, ten".