1001010313332 has 36 divisors (see below), whose sum is σ = 2578073736420. Its totient is φ = 327374441472.

The previous prime is 1001010313313. The next prime is 1001010313333. The reversal of 1001010313332 is 2333130101001.

It is a happy number.

1001010313332 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 10 + 313 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 570393499536 + 430616813796 = 755244^2 + 656214^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001010313333) 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 11 ways as a sum of consecutive naturals, for example, 262317357 + ... + 262321172.

It is an arithmetic number, because the mean of its divisors is an integer number (71613159345).

Almost surely, 2^{1001010313332} is an apocalyptic number.

1001010313332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001010313332 is an abundant number, since it is smaller than the sum of its proper divisors (1577063423088).

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

1001010313332 is a wasteful number, since it uses less digits than its factorization.

1001010313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524638592 (or 524638587 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1001010313332 its reverse (2333130101001), we get a palindrome (3334140414333).

The spelling of 1001010313332 in words is "one trillion, one billion, ten million, three hundred thirteen thousand, three hundred thirty-two".