31201101040140 has 288 divisors, whose sum is σ = 99254004615360. Its totient is φ = 8137137595392.

The previous prime is 31201101040117. The next prime is 31201101040147. The reversal of 31201101040140 is 4104010110213.

31201101040140 is a `hidden beast` number, since 3 + 1 + 201 + 10 + 10 + 401 + 40 = 666.

It is a super-2 number, since 2×31201101040140² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31201101040147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1709359254 + ... + 1709377506.

It is an arithmetic number, because the mean of its divisors is an integer number (344631960470).

Almost surely, 2^{31201101040140} is an apocalyptic number.

31201101040140 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 31201101040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49627002307680).

31201101040140 is an abundant number, since it is smaller than the sum of its proper divisors (68052903575220).

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

31201101040140 is a wasteful number, since it uses less digits than its factorization.

31201101040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19798 (or 19743 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 31201101040140 its reverse (4104010110213), we get a palindrome (35305111150353).

The spelling of 31201101040140 in words is "thirty-one trillion, two hundred one billion, one hundred one million, forty thousand, one hundred forty".