1023210201312 has 72 divisors (see below), whose sum is σ = 3133581252984. Its totient is φ = 314833906944.

The previous prime is 1023210201301. The next prime is 1023210201407. The reversal of 1023210201312 is 2131020123201.

1023210201312 is a `hidden beast` number, since 10 + 2 + 321 + 0 + 20 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136642918 + ... + 136650405.

It is an arithmetic number, because the mean of its divisors is an integer number (43521961847).

Almost surely, 2^{1023210201312} is an apocalyptic number.

1023210201312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023210201312 is an abundant number, since it is smaller than the sum of its proper divisors (2110371051672).

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

1023210201312 is a wasteful number, since it uses less digits than its factorization.

1023210201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273293352 (or 273293341 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1023210201312 its reverse (2131020123201), we get a palindrome (3154230324513).

The spelling of 1023210201312 in words is "one trillion, twenty-three billion, two hundred ten million, two hundred one thousand, three hundred twelve".