1020014311232 has 224 divisors, whose sum is σ = 2387419200768. Its totient is φ = 423420493824.

The previous prime is 1020014311223. The next prime is 1020014311259. The reversal of 1020014311232 is 2321134100201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1020014311232² (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 434602283 + ... + 434604629.

It is an arithmetic number, because the mean of its divisors is an integer number (10658121432).

Almost surely, 2^{1020014311232} 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 1020014311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193709600384).

1020014311232 is an abundant number, since it is smaller than the sum of its proper divisors (1367404889536).

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

1020014311232 is a wasteful number, since it uses less digits than its factorization.

1020014311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1020014311232 its reverse (2321134100201), we get a palindrome (3341148411433).

The spelling of 1020014311232 in words is "one trillion, twenty billion, fourteen million, three hundred eleven thousand, two hundred thirty-two".