101405144313036 has 384 divisors, whose sum is σ = 279173920256000. Its totient is φ = 31795614609408.

The previous prime is 101405144313023. The next prime is 101405144313049. The reversal of 101405144313036 is 630313441504101.

101405144313036 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 51 + 443 + 130 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (101405144313023) and next prime (101405144313049).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3203229720 + ... + 3203261376.

Almost surely, 2^{101405144313036} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101405144313036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139586960128000).

101405144313036 is an abundant number, since it is smaller than the sum of its proper divisors (177768775942964).

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

101405144313036 is a wasteful number, since it uses less digits than its factorization.

101405144313036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31998 (or 31990 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 101405144313036 its reverse (630313441504101), we get a palindrome (731718585817137).

It can be divided in two parts, 101405 and 144313036, that added together give a palindrome (144414441).

The spelling of 101405144313036 in words is "one hundred one trillion, four hundred five billion, one hundred forty-four million, three hundred thirteen thousand, thirty-six".