31241311131030 has 512 divisors, whose sum is σ = 102404511498240. Its totient is φ = 5889855928320.

The previous prime is 31241311131029. The next prime is 31241311131071. The reversal of 31241311131030 is 3013111314213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 529008984 + ... + 529068036.

It is an arithmetic number, because the mean of its divisors is an integer number (200008811520).

Almost surely, 2^{31241311131030} is an apocalyptic number.

31241311131030 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 31241311131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51202255749120).

31241311131030 is an abundant number, since it is smaller than the sum of its proper divisors (71163200367210).

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

31241311131030 is a wasteful number, since it uses less digits than its factorization.

31241311131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59396.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 31241311131030 its reverse (3013111314213), we get a palindrome (34254422445243).

The spelling of 31241311131030 in words is "thirty-one trillion, two hundred forty-one billion, three hundred eleven million, one hundred thirty-one thousand, thirty".