31201211011300 has 144 divisors (see below), whose sum is σ = 74651741982720. Its totient is φ = 11224725120000.

The previous prime is 31201211011207. The next prime is 31201211011339. The reversal of 31201211011300 is 311011210213.

It is a happy number.

It is a super-3 number, since 3×31201211011300³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141987112 + ... + 142206688.

It is an arithmetic number, because the mean of its divisors is an integer number (518414874880).

Almost surely, 2^{31201211011300} 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 31201211011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37325870991360).

31201211011300 is an abundant number, since it is smaller than the sum of its proper divisors (43450530971420).

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

31201211011300 is a wasteful number, since it uses less digits than its factorization.

31201211011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220982 (or 220975 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 31201211011300 its reverse (311011210213), we get a palindrome (31512222221513).

The spelling of 31201211011300 in words is "thirty-one trillion, two hundred one billion, two hundred eleven million, eleven thousand, three hundred".