1013300121000 has 256 divisors, whose sum is σ = 3332984578560. Its totient is φ = 255798681600.

The previous prime is 1013300120953. The next prime is 1013300121017. The reversal of 1013300121000 is 1210033101.

It is a super-2 number, since 2×1013300121000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 63 ways as a sum of consecutive naturals, for example, 6617302 + ... + 6768698.

It is an arithmetic number, because the mean of its divisors is an integer number (13019471010).

Almost surely, 2^{1013300121000} is an apocalyptic number.

1013300121000 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 1013300121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666492289280).

1013300121000 is an abundant number, since it is smaller than the sum of its proper divisors (2319684457560).

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

1013300121000 is a wasteful number, since it uses less digits than its factorization.

1013300121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151541 (or 151527 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1013300121000 its reverse (1210033101), we get a palindrome (1014510154101).

The spelling of 1013300121000 in words is "one trillion, thirteen billion, three hundred million, one hundred twenty-one thousand".