1023211310000 has 400 divisors, whose sum is σ = 2744481484800. Its totient is φ = 366353280000.

The previous prime is 1023211309987. The next prime is 1023211310041. The reversal of 1023211310000 is 131123201.

1023211310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×1023211310000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2671569809 + ... + 2671570191.

It is an arithmetic number, because the mean of its divisors is an integer number (6861203712).

Almost surely, 2^{1023211310000} is an apocalyptic number.

1023211310000 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 1023211310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372240742400).

1023211310000 is an abundant number, since it is smaller than the sum of its proper divisors (1721270174800).

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

1023211310000 is a wasteful number, since it uses less digits than its factorization.

1023211310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1023211310000 its reverse (131123201), we get a palindrome (1023342433201).

The spelling of 1023211310000 in words is "one trillion, twenty-three billion, two hundred eleven million, three hundred ten thousand".