100031010313332 has 288 divisors, whose sum is σ = 277835649315840. Its totient is φ = 27924608839680.

The previous prime is 100031010313321. The next prime is 100031010313357. The reversal of 100031010313332 is 233313010130001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100031010313299 and 100031010313308.

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 95 ways as a sum of consecutive naturals, for example, 1426716957 + ... + 1426787067.

It is an arithmetic number, because the mean of its divisors is an integer number (964707115680).

Almost surely, 2^{100031010313332} is an apocalyptic number.

100031010313332 is a gapful number since it is divisible by the number (12) 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 100031010313332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138917824657920).

100031010313332 is an abundant number, since it is smaller than the sum of its proper divisors (177804639002508).

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

100031010313332 is a wasteful number, since it uses less digits than its factorization.

100031010313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70551 (or 70542 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 100031010313332 its reverse (233313010130001), we get a palindrome (333344020443333).

The spelling of 100031010313332 in words is "one hundred trillion, thirty-one billion, ten million, three hundred thirteen thousand, three hundred thirty-two".