1013020212000 has 96 divisors (see below), whose sum is σ = 3318654253824. Its totient is φ = 270138720000.

The previous prime is 1013020211999. The next prime is 1013020212007. The reversal of 1013020212000 is 2120203101.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (1013020212007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42197176 + ... + 42221175.

It is an arithmetic number, because the mean of its divisors is an integer number (34569315144).

Almost surely, 2^{1013020212000} is an apocalyptic number.

1013020212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1013020212000 is an abundant number, since it is smaller than the sum of its proper divisors (2305634041824).

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

1013020212000 is an equidigital number, since it uses as much as digits as its factorization.

1013020212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84418379 (or 84418361 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1013020212000 its reverse (2120203101), we get a palindrome (1015140415101).

The spelling of 1013020212000 in words is "one trillion, thirteen billion, twenty million, two hundred twelve thousand".