31032145144140 has 192 divisors, whose sum is σ = 105054609408000. Its totient is φ = 6685974814464.

The previous prime is 31032145144111. The next prime is 31032145144141. The reversal of 31032145144140 is 4144154123013.

It is not an unprimeable number, because it can be changed into a prime (31032145144141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8182684 + ... + 11358723.

It is an arithmetic number, because the mean of its divisors is an integer number (547159424000).

Almost surely, 2^{31032145144140} is an apocalyptic number.

31032145144140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31032145144140 is an abundant number, since it is smaller than the sum of its proper divisors (74022464263860).

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

31032145144140 is a wasteful number, since it uses less digits than its factorization.

31032145144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19541644 (or 19541642 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 31032145144140 its reverse (4144154123013), we get a palindrome (35176299267153).

The spelling of 31032145144140 in words is "thirty-one trillion, thirty-two billion, one hundred forty-five million, one hundred forty-four thousand, one hundred forty".