10021031531232 has 96 divisors (see below), whose sum is σ = 26474200704000. Its totient is φ = 3318931173888.

The previous prime is 10021031531183. The next prime is 10021031531263. The reversal of 10021031531232 is 23213513012001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13370998 + ... + 14100554.

It is an arithmetic number, because the mean of its divisors is an integer number (275772924000).

Almost surely, 2^{10021031531232} is an apocalyptic number.

10021031531232 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 10021031531232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13237100352000).

10021031531232 is an abundant number, since it is smaller than the sum of its proper divisors (16453169172768).

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

10021031531232 is a wasteful number, since it uses less digits than its factorization.

10021031531232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730488 (or 730480 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 10021031531232 its reverse (23213513012001), we get a palindrome (33234544543233).

The spelling of 10021031531232 in words is "ten trillion, twenty-one billion, thirty-one million, five hundred thirty-one thousand, two hundred thirty-two".