1213010331000 has 1024 divisors, whose sum is σ = 4450495795200. Its totient is φ = 272471040000.

The previous prime is 1213010330999. The next prime is 1213010331077. The reversal of 1213010331000 is 1330103121.

It is a super-2 number, since 2×1213010331000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 255 ways as a sum of consecutive naturals, for example, 4139966854 + ... + 4139967146.

It is an arithmetic number, because the mean of its divisors is an integer number (4346187300).

Almost surely, 2^{1213010331000} is an apocalyptic number.

1213010331000 is a gapful number since it is divisible by the number (10) 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 1213010331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225247897600).

1213010331000 is an abundant number, since it is smaller than the sum of its proper divisors (3237485464200).

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

1213010331000 is a wasteful number, since it uses less digits than its factorization.

1213010331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1213010331000 its reverse (1330103121), we get a palindrome (1214340434121).

The spelling of 1213010331000 in words is "one trillion, two hundred thirteen billion, ten million, three hundred thirty-one thousand".