1013401214000 has 320 divisors, whose sum is σ = 3027555747840. Its totient is φ = 320265446400.

The previous prime is 1013401213991. The next prime is 1013401214011. The reversal of 1013401214000 is 4121043101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1013401214000.

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, 9790517 + ... + 9893483.

It is an arithmetic number, because the mean of its divisors is an integer number (9461111712).

Almost surely, 2^{1013401214000} is an apocalyptic number.

1013401214000 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 1013401214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513777873920).

1013401214000 is an abundant number, since it is smaller than the sum of its proper divisors (2014154533840).

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

1013401214000 is a wasteful number, since it uses less digits than its factorization.

1013401214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103053 (or 103037 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1013401214000 its reverse (4121043101), we get a palindrome (1017522257101).

The spelling of 1013401214000 in words is "one trillion, thirteen billion, four hundred one million, two hundred fourteen thousand".