10123311020400 has 150 divisors (see below), whose sum is σ = 36331751004032. Its totient is φ = 2699549596800.

The previous prime is 10123311020399. The next prime is 10123311020423. The reversal of 10123311020400 is 402011332101.

10123311020400 is a `hidden beast` number, since 1 + 0 + 1 + 233 + 1 + 10 + 20 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 156191536 + ... + 156256335.

Almost surely, 2^{10123311020400} is an apocalyptic number.

10123311020400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123311020400 is an abundant number, since it is smaller than the sum of its proper divisors (26208439983632).

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

10123311020400 is a wasteful number, since it uses less digits than its factorization.

10123311020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312447901 (or 312447881 counting only the distinct ones).

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

Adding to 10123311020400 its reverse (402011332101), we get a palindrome (10525322352501).

The spelling of 10123311020400 in words is "ten trillion, one hundred twenty-three billion, three hundred eleven million, twenty thousand, four hundred".