31141335252000 has 192 divisors, whose sum is σ = 103029107545728. Its totient is φ = 8222134400000.

The previous prime is 31141335251977. The next prime is 31141335252007. The reversal of 31141335252000 is 25253314113.

It is a super-2 number, since 2×31141335252000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (31141335252007) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11635086 + ... + 14059085.

It is an arithmetic number, because the mean of its divisors is an integer number (536609935134).

Almost surely, 2^{31141335252000} is an apocalyptic number.

31141335252000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31141335252000 is an abundant number, since it is smaller than the sum of its proper divisors (71887772293728).

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

31141335252000 is a wasteful number, since it uses less digits than its factorization.

31141335252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25694300 (or 25694282 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 31141335252000 its reverse (25253314113), we get a palindrome (31166588566113).

The spelling of 31141335252000 in words is "thirty-one trillion, one hundred forty-one billion, three hundred thirty-five million, two hundred fifty-two thousand".