31221342054300 has 144 divisors (see below), whose sum is σ = 90551417588352. Its totient is φ = 8305635436800.

The previous prime is 31221342054269. The next prime is 31221342054349. The reversal of 31221342054300 is 345024312213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1157146810 + ... + 1157173790.

It is an arithmetic number, because the mean of its divisors is an integer number (628829288808).

Almost surely, 2^{31221342054300} is an apocalyptic number.

31221342054300 is a gapful number since it is divisible by the number (30) 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 31221342054300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45275708794176).

31221342054300 is an abundant number, since it is smaller than the sum of its proper divisors (59330075534052).

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

31221342054300 is a wasteful number, since it uses less digits than its factorization.

31221342054300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36148 (or 36141 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 31221342054300 its reverse (345024312213), we get a palindrome (31566366366513).

The spelling of 31221342054300 in words is "thirty-one trillion, two hundred twenty-one billion, three hundred forty-two million, fifty-four thousand, three hundred".