1001312744152 has 64 divisors (see below), whose sum is σ = 2273627128320. Its totient is φ = 403581331968.

The previous prime is 1001312744143. The next prime is 1001312744153. The reversal of 1001312744152 is 2514472131001.

It is a super-2 number, since 2×1001312744152² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001312744153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 841893 + ... + 1646635.

It is an arithmetic number, because the mean of its divisors is an integer number (35525423880).

Almost surely, 2^{1001312744152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001312744152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136813564160).

1001312744152 is an abundant number, since it is smaller than the sum of its proper divisors (1272314384168).

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

1001312744152 is a wasteful number, since it uses less digits than its factorization.

1001312744152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806080 (or 806076 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

Adding to 1001312744152 its reverse (2514472131001), we get a palindrome (3515784875153).

The spelling of 1001312744152 in words is "one trillion, one billion, three hundred twelve million, seven hundred forty-four thousand, one hundred fifty-two".